Commuting varieties of Lie algebras over fields of prime characteristic

DOI10.1006/jabr.2001.9083zbMath1034.17012OpenAlexW2031495356WikidataQ115395676 ScholiaQ115395676MaRDI QIDQ1604355

Paul Levy

Publication date: 4 July 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2001.9083

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Lie algebras of linear algebraic groups (17B45) Modular Lie (super)algebras (17B50)

Related Items (17)

Commuting variety of Witt algebra ⋮ Counting on the variety of modules over the quantum plane ⋮ Mixed commuting varieties over nilpotent matrices ⋮ Generators of simple Lie algebras in arbitrary characteristics ⋮ Enumeration of commuting pairs in Lie algebras over finite fields ⋮ Involutions of reductive Lie algebras in positive characteristic ⋮ On commuting varieties of parabolic subalgebras ⋮ Closures of certain matrix varieties and applications ⋮ On the irreducibility of commuting varieties of nilpotent matrices ⋮ Commuting varieties of \(r\)-tuples over Lie algebras. ⋮ Nilpotent commuting varieties of reductive Lie algebras ⋮ Commuting Varieties for Nilpotent Radicals ⋮ Saturation rank for finite group schemes: finite groups and infinitesimal group schemes ⋮ On Commuting Varieties of Nilradicals of Borel Subalgebras of Reductive Lie Algebras ⋮ On the variety of almost commuting nilpotent matrices ⋮ Vinberg's \(\theta \)-groups in positive characteristic and Kostant-Weierstrass slices ⋮ On nilpotent commuting varieties of \(r\)-tuples in the Witt algebra

Cites Work

• Über die unipotenten Klassen reduktiver Gruppen. II
• Irreducible representations of Lie algebras of reductive groups and the Kac-Weisfeiler conjecture
• On dominance and varieties of commuting matrices
• Block representation type of reduced enveloping algebras
• Pairs of Matrices With Property L. II
• Classes of unipotent elements in simple algebraic groups. I
• Classes of unipotent elements in simple algebraic groups. II
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